TSTP Solution File: SET197-6 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SET197-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 05:24:57 EDT 2022
% Result : Unsatisfiable 0.77s 1.00s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 3 unt; 3 nHn; 8 RR)
% Number of literals : 13 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ subclass(intersection(x__dfg,y__dfg),y__dfg),
file('SET197-6.p',unknown),
[] ).
cnf(3,axiom,
( subclass(u,v)
| member(not_subclass_element(u,v),u) ),
file('SET197-6.p',unknown),
[] ).
cnf(4,axiom,
( ~ member(not_subclass_element(u,v),v)
| subclass(u,v) ),
file('SET197-6.p',unknown),
[] ).
cnf(23,axiom,
( ~ member(u,intersection(v,w))
| member(u,w) ),
file('SET197-6.p',unknown),
[] ).
cnf(161,plain,
( subclass(intersection(u,v),w)
| member(not_subclass_element(intersection(u,v),w),v) ),
inference(res,[status(thm),theory(equality)],[3,23]),
[iquote('0:Res:3.1,23.0')] ).
cnf(4072,plain,
( subclass(intersection(u,v),v)
| subclass(intersection(u,v),v) ),
inference(res,[status(thm),theory(equality)],[161,4]),
[iquote('0:Res:161.1,4.0')] ).
cnf(4074,plain,
subclass(intersection(u,v),v),
inference(obv,[status(thm),theory(equality)],[4072]),
[iquote('0:Obv:4072.0')] ).
cnf(4075,plain,
$false,
inference(unc,[status(thm)],[4074,1]),
[iquote('0:UnC:4074.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET197-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 03:01:27 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.77/1.00
% 0.77/1.00 SPASS V 3.9
% 0.77/1.00 SPASS beiseite: Proof found.
% 0.77/1.00 % SZS status Theorem
% 0.77/1.00 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/1.00 SPASS derived 3626 clauses, backtracked 204 clauses, performed 4 splits and kept 1911 clauses.
% 0.77/1.00 SPASS allocated 79509 KBytes.
% 0.77/1.00 SPASS spent 0:00:00.63 on the problem.
% 0.77/1.00 0:00:00.04 for the input.
% 0.77/1.00 0:00:00.00 for the FLOTTER CNF translation.
% 0.77/1.00 0:00:00.05 for inferences.
% 0.77/1.00 0:00:00.01 for the backtracking.
% 0.77/1.00 0:00:00.48 for the reduction.
% 0.77/1.00
% 0.77/1.00
% 0.77/1.00 Here is a proof with depth 2, length 8 :
% 0.77/1.00 % SZS output start Refutation
% See solution above
% 0.77/1.00 Formulae used in the proof : prove_lattice_lower_bound2_1 not_subclass_members1 not_subclass_members2 intersection2
% 0.77/1.00
%------------------------------------------------------------------------------